871776000 has 288 divisors, whose sum is σ = 3220526400. Its totient is φ = 232243200.

The previous prime is 871775999. The next prime is 871776013. The reversal of 871776000 is 677178.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863496 + ... + 864504.

Almost surely, 2^871776000 is an apocalyptic number.

871776000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610263200).

871776000 is an abundant number, since it is smaller than the sum of its proper divisors (2348750400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

871776000 is a wasteful number, since it uses less digits than its factorization.

871776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 871776000 is about 29525.8530782770. The cubic root of 871776000 is about 955.2894237131.

The spelling of 871776000 in words is "eight hundred seventy-one million, seven hundred seventy-six thousand".